Math Problem Statement
minus, 4, left parenthesis, minus, 8, w, minus, 4, x, right parenthesis, minus, 7, x, minus, 10, left parenthesis, minus, 10, x, plus, 8, w, right parenthesis−4(−8w−4x)−7x−10(−10x+8w)
Solution
Let's simplify the expression step by step:
Given:
Step 1: Distribute the factors.
First, distribute to both terms inside the first parentheses:
Next, distribute to both terms inside the second parentheses:
Now substitute these into the original expression:
Step 2: Combine like terms.
For the terms:
For the terms:
Final Expression:
This is the simplified form of the expression.
Would you like further details on any steps or have any questions?
Relative Questions:
- How do we apply the distributive property?
- What are like terms, and why can we combine them?
- Can the order of terms affect the result in addition and subtraction?
- How would this expression change if we added another variable term?
- How does factoring differ from distributing?
Tip: Always distribute negative signs carefully to avoid errors in simplification.
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Math Problem Analysis
Mathematical Concepts
Algebra
Distributive Property
Combining Like Terms
Formulas
Distributive Property: a(b + c) = ab + ac
Theorems
Distributive Law
Suitable Grade Level
Grades 8-10
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